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Acing the first test Here are the scores of Mrs. Liao鈥檚 students on their first statistics test:

(a) Make a boxplot of the test score data by hand. Be sure to check for outliers.

(b) How did the students do on Mrs. Liao鈥檚 first test? Justify your answer.

Short Answer

Expert verified

Part (b) The students performed very well.

Part (a) The box plot is

Step by step solution

01

Part (a) Step 1: Given information

The table is

939387.59194.572969593.593.573
824588808685.587.581788689
9391988582.58894.543


02

Part (a) Step 2: Concept

A boxplot is a frequent data analysis graph.

03

Part (a) Step 3: Calculation

The following is a box plot of Mrs. Liao's students' test score data on their first statistics test:

To look for outliers, we'll calculate the IQR and then determine the upper and lower bounds: IQR=Q3Q1=93.2581.5=11.75IQRx1.5=11.75x1.5=17.625Q3+60=93.25+17.625=110.875Q1-60=81.5-17.625=63.875

Any figure between 110.875 and 63.875 is considered an anomaly. The outliers in this situation are 43 and 45 Thus, the box-plot is made for the given data.

04

Part (b) Step 1: Calculation

The first statistics test was a success for the vast majority of students. Only two students out of thirty were unable to achieve satisfactory results. Because the median score is 87.75 and Q1 is also above 70%, the majority of students have scored in excess of 70. Only two students, who received scores of 43 and 45, scored in the lower half of the range. Therefore, the students performed very well.

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